On coupled first and second order boundary value problems in ordered Banach spaces

• Autorzy: Herzog G. , Lemmert R.
• Języki publikacji: EN

Abstrakty

EN

By means of a result on coupled first and second order differential inequalities and an intermediate value theorem in ordered Banach spaces, we obtain the existence of extremal solutions of boundary value problems of the form u܉ = f(t, u1, u2), u𔈀 + g(t, u1, u2) = 0, u1(a) = xa, u2(a) = ya, u2(b) = yb, between lower and upper solutions.

Słowa kluczowe

EN

quasimonotonicity; lower and upper solutions; coupled first and second order differential inequalities; intermediate value theorem

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 3
• Strony: 561--574
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Herzog G.

autor

Lemmert R.

• nstitut Für Analysis Universität Karlsruhe D-76128 Karlsruhe, Germany,

Bibliografia

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